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Finding the Fourth Proportional to 186.31, 256.35 and 174.16

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Solution

The fourth proportional to 186.31, 256.35 and 174.16 is: 239.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.31 : 256.35 = 174.16 : x
  2. Step 2: Convert to fraction form
    186.31/256.35 = 174.16/x
  3. Step 3: Cross multiply
    186.31x = 256.35 × 174.16
  4. Step 4: Simplify right side
    186.31x = 44,645.92
  5. Step 5: Solve for x
    x = 44,645.92/186.31
  6. Step 6: Final answer
    x = 239.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.